100010110013 has 4 divisors (see below), whose sum is σ = 109101938208. Its totient is φ = 90918281820.

The previous prime is 100010109877. The next prime is 100010110043. The reversal of 100010110013 is 310011010001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100010110013 - 2¹⁴ = 100010093629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010110043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4545914081 + ... + 4545914102.

It is an arithmetic number, because the mean of its divisors is an integer number (27275484552).

Almost surely, 2^100010110013 is an apocalyptic number.

It is an amenable number.

100010110013 is a deficient number, since it is larger than the sum of its proper divisors (9091828195).

100010110013 is an equidigital number, since it uses as much as digits as its factorization.

100010110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9091828194.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 100010110013 its reverse (310011010001), we get a palindrome (410021120014).

The spelling of 100010110013 in words is "one hundred billion, ten million, one hundred ten thousand, thirteen".